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Finding the Third Proportional to 734,197.50 and 1,033,929

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Solution

The third proportional to 734,197.50 and 1,033,929 is: 1,456,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,197.50 : 1,033,929 = 1,033,929 : x
  2. Step 2: Convert to fraction form
    734,197.50/1,033,929 = 1,033,929/x
  3. Step 3: Cross multiply
    734,197.50x = 1,033,929 × 1,033,929
  4. Step 4: Simplify right side
    734,197.50x = 1,069,009,177,041
  5. Step 5: Solve for x
    x = 1,069,009,177,041/734,197.50
  6. Step 6: Final answer
    x = 1,456,023.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.